98996889600 has 864 divisors, whose sum is σ = 414445973760. Its totient is φ = 22112501760.

The previous prime is 98996889587. The next prime is 98996889601. The reversal of 98996889600 is 698869989.

98996889600 is a `hidden beast` number, since 9 + 8 + 9 + 9 + 6 + 8 + 8 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (98996889601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 151602874 + ... + 151603526.

It is an arithmetic number, because the mean of its divisors is an integer number (479682840).

Almost surely, 2^98996889600 is an apocalyptic number.

98996889600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98996889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207222986880).

98996889600 is an abundant number, since it is smaller than the sum of its proper divisors (315449084160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

98996889600 is a wasteful number, since it uses less digits than its factorization.

98996889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 72.

The spelling of 98996889600 in words is "ninety-eight billion, nine hundred ninety-six million, eight hundred eighty-nine thousand, six hundred".